Quantum bits and methods of forming the same

ABSTRACT

A Josephson junction (JJ) quantum bit (qubits) arranged on a substrate is provided. In one embodiment, each qubit comprises a dielectric layer, a superconductor base layer portion underlying the dielectric layer and a first dielectric diffused region adjacent a dielectric layer/superconductor base layer portion junction. The qubit further comprise a superconductor mesa layer portion overlying the dielectric layer and having a second dielectric diffused region adjacent a dielectric layer/superconductor mesa layer portion junction, the first and second dielectric diffused regions mitigating further diffusion from other semiconductor processes on the plurality of qubits.

RELATED APPLICATIONS

The present divisional application claims priority from U.S. patentapplication ser. No. 13/294,473, filed Nov. 11,2011, the entirety ofwhich is incorporated herein by reference.

TECHNICAL FIELD

The present invention relates generally to superconductors, and moreparticularly to quantum bits and a method of forming the same.

BACKGROUND

Efforts on fabrication of quantum bits (qubits) have mostly beenconfined to university or government research labs, with littlepublished on the mass production of qubit circuits. Therefore, many ofthe methods used to fabricate qubits in these laboratories utilizeprocesses or equipment incapable of rapid, consistent fabrication. Forexample, most qubit fabrication methods utilize electron beamlithography (EBL). EBL is great for fabricating small feature sizes, butis usually very slow, taking several hours to write a wafer. Thetradeoff then becomes using small samples with acceptable productiontime, or large samples with long production times. Some literaturereports on rapid fabrication of superconducting phase qubits, buttypically small samples are used that don't exploit the relativeeconomies of scale that make volume semiconductor fabrication soattractive. Small samples can be utilized with quick turn-around time,but in the end many samples need to be fabricated. Therefore, the entireprocess flow needs to be repeated increasing the likelihood of errors atany step in the process flow.

Superconducting qubits based on Josephson junctions are one of theleading technologies proposed for quantum computing and cryptographyapplications that are expected to provide significant enhancements tonational security applications where communication signal integrity orcomputing power are needed. However, presently these devices remainlaboratory curiosities due to the difficulty in achieving reproducibleresults. Furthermore, the need for low temperature processing currentlypresents one of the more significant barriers to mass producing JJsuperconducting qubits. The current thoughts are that low temperaturesare required due to the delicate nature of the metal-oxide-metal JJs andthat high temperature excursions diffuse the thin oxide that forms thetunnel junction, or induce a chemical reaction, thereby affecting boththe junction energy barrier height and width. Therefore, to be able toreliably manufacture superconducting qubits and control diffusion causedby high temperatures would provide a revolutionary step towards makingthe ideas of quantum cryptography and computing a reality.

SUMMARY

In one aspect of the invention, a method is provided of formingJosephson junction (JJ) quantum bits (qubits). The method comprisesforming a JJ trilayer on a substrate. The JJ trilayer is comprised of adielectric layer sandwiched between a bottom superconductor materiallayer and a top superconductor material layer. The method furthercomprises performing a thermal hardening process on the JJ trilayer tocontrol diffusion of the dielectric layer into the bottom superconductormaterial layer and the top superconductor material layer, and etchingopenings in the JJ trilayer to form one or more JJ qubits.

In yet another aspect of the invention, a method is provided of formingJJ qubits. The method comprises depositing a first superconductormaterial layer over a substrate, forming a dielectric layer over thefirst superconductor material layer, and depositing a secondsuperconductor material layer over the dielectric layer. The firstsuperconductor material layer, the dielectric layer and the secondsuperconductor material layer form a JJ trilayer. The method furthercomprises annealing the JJ trilayer in an inert environment at atemperature between about 150° C. to about 400° C. for a time periodbetween about 15 minute to about 120 minutes to control diffusion of thedielectric layer into the first superconductor material layer and thesecond superconductor material layer, and etching openings in the JJtrilayer to form one or more JJ qubits.

In yet a further aspect of the invention, a plurality of JJ qubits arearranged on a substrate. Each of the plurality of qubits comprise adielectric layer, a superconductor base layer portion underlying thedielectric layer and having a first dielectric diffused region adjacenta dielectric layer/superconductor base layer portion junction and asuperconductor mesa layer portion overlying the dielectric layer andhaving a second dielectric diffused region adjacent a dielectriclayer/superconductor mesa layer portion junction. The first and seconddielectric diffused regions mitigate further diffusion caused by othersemiconductor processes on each of the plurality of JJ qubits.

BRIEF DESCRIPTION OF THE DRAWINGS

FIG. 1 illustrates a schematic cross-sectional view of a Josephsonjunction (JJ) phase quantum bit (qubit) assembly in accordance with anaspect of the present invention.

FIG. 2 illustrates a graph of critical current density of exemplary JJqubits versus annealing time at different temperatures and environments.

FIG. 3 illustrates a graph of distance versus energy barrier for atunnel oxide of a JJ qubit that was not subjected to a thermal hardeningprocess.

FIG. 4 illustrates a graph of distance versus energy barrier for atunnel oxide of a JJ qubit that was subjected to a thermal hardeningprocess.

FIG. 5 illustrates a schematic cross-sectional view of a superconductorstructure in its early stages of fabrication in accordance with anaspect of the present invention.

FIG. 6 illustrates a schematic cross-sectional view of the structure ofFIG. 5 undergoing a temperature annealing process in accordance with anaspect of the present invention.

FIG. 7 illustrates a schematic cross-sectional view of the structure ofFIG. 6 after the temperature annealing process in accordance with anaspect of the present invention.

FIG. 8 illustrates a schematic cross-sectional view of the structure ofFIG. 7 after a protective barrier layer has been deposited and isundergoing a curing process in accordance with an aspect of the presentinvention.

FIG. 9 illustrates a schematic cross-sectional view of the structure ofFIG. 8 after a photoresist material layer has been deposited andpatterned in accordance with an aspect of the present invention.

FIG. 10 illustrates a schematic cross-sectional view of the structure ofFIG. 9 undergoing an etch step to extend openings in the protectivebarrier layer in accordance with an aspect of the present invention.

FIG. 11 illustrates a schematic cross-sectional view of the structure ofFIG. 10 undergoing an etch step to extend openings in a JJ trilayer inaccordance with an aspect of the present invention.

FIG. 12 illustrates a schematic cross-sectional view of the structure ofFIG. 11 after the etch step to extend openings in the JJ trilayer andafter undergoing a strip of the photoresist material layer and theprotective barrier layer in accordance with an aspect of the presentinvention.

DETAILED DESCRIPTION

The present invention is directed to employing a thermal hardeningprocess of Josephson junction Phase Quantum Bits (JJ qubits) afterformation of the JJ qubits or after formation of a JJ trilayer that isemployed to form the JJ qubits. The thermal hardening process mitigatesjunction travel or diffusion caused from subsequent processing. Thethermal hardening process allows the JJ qubits to be processed in thecommon temperature range (e.g., ≧300° C.) of standard silicon (Si), suchthat no further, special low temperature processing is required. Thedisclosed invention, therefore, reduces cycle time and production cost,and increases yield and uniformity by enabling the use of more effectiveprocessing methods and produces more reliable qubits.

In an aspect of the invention, a protective barrier layer protects asuperconductor material layer from a photoresist developer during theformation of an etch mask to etch superconductor patterns in thesuperconductor material layer. In one aspect of the invention, theprotective barrier layer is formed of an organic spin-on material thatcan be cured at temperatures at or above 150° C. (e.g., 180° C.). In anaspect of the invention, the superconductor material layer is aluminumand the photoresist developer contains sodium hydroxide (NaOH) that cancause etching of the aluminum (Al). In yet a further aspect of theinvention, the organic spin-on material is an organic anti-reflectivecoating. In yet another aspect of the invention, the protective barrierlayer is a photosensitive material and is cured by employing aphotocuring process (e.g., exposure to ultraviolet light (UV)).

FIG. 1 illustrates a cross-sectional view of a Josephson junction (JJ)phase quantum bit (qubit) assembly 10 in accordance with an aspect ofthe present invention. The JJ phase qubit assembly 10 comprises a JJqubit 24 residing over an insulator layer 14 that resides over asubstrate 12. The JJ qubit 24 is formed of a dielectric layer 20sandwiched between a superconductor base layer portion 16 and asuperconductor mesa layer portion 22 aligned with one another. Thesubstrate 12 can be formed of silicon or another substrate material andthe insulator layer 14 can be formed of an oxide or other insulatormaterial. Alternatively, the substrate 12 can be formed of an insulatingsubstrate, such that the insulating layer 14 can be omitted duringfabrication of the JJ phase qubit assembly 10. Formation of the JJ phasequbit assembly 10 requires a series of precise metal andmetal-and-insulator etch steps guided by lithography to pattern thecomprising films into the requisite device structures.

The present invention utilizes a thermal anneal process in the JJ qubitassembly fabrication process that results in a controlled diffusion ofthe dielectric layer 20 into both the superconductor base layer portion16 and the superconductor mesa layer portion 22. This results in theformation of a first dielectric diffused region 17 in the superconductorbase layer portion 16 adjacent a dielectric layer/superconductor baselayer portion junction and a second diffused region 21 in thesuperconductor mesa layer portion 22 adjacent a dielectriclayer/superconductor mesa layer portion junction. The thermal annealprocess can be performed on the JJ qubit 24, or on a JJ trilayeremployed to form the JJ qubit 24 prior to formation of the JJ qubit 24.The thermal anneal can be performed in an inert environment (e.g, in anitrogen, argon, or helium environment, or in a vacuum) and exposing theJJ qubit 24 to a temperature of about 150° C. to about 400° C. (e.g.,300° C.) for about 15 minutes to about 120 minutes. This tunes or shiftsthe critical current density of the JJ 24 from a first critical currentdefined by the dimensions (e.g., thickness of the dielectric layer 20)of the JJ qubit 24 to a second critical current defined by thetemperature anneal. The controlled diffusion allows for employment ofstandard silicon processing equipment and techniques in subsequentsemiconductor processes since the controlled diffusion mitigates furtherdeleterious affects that would produce uncontrolled diffusion andunknown changes to the critical current density.

Photolithography is repeated for each masking layer in the formation ofthe JJ phase qubit 24. Because the photoresist developers utilized insilicon processing can contain materials (e.g., sodium hydroxide (NaOH))that etch superconductors (e.g., Al), a protective barrier layer can beformed over one or more of the superconductor material layers beforedeposition of photoresist. The protective barrier layer protects the oneor more superconductor material layers from unintentional etching, butis cleared easily in a dry etch process prior to the superconductormaterial layer etch.

In an aspect of the present invention, the JJ qubit 24 comprises adouble-mesa structure with a bottom layer of pure aluminum (Al) or analuminum-copper alloy (Al—Cu). Overlying the bottom of aluminum or thealuminum-copper alloy layer is an ultrathin layer (10-20 angstroms, or1-2 billionths of a meter) of aluminum oxide (Al₂O₃). The aluminum oxidelayer can be formed, without exposure to ambient environments, byflowing pure oxygen in the presence of an aluminum layer. This aluminumoxide can either be formed by depositing aluminum, and then oxidizingthe aluminum to form aluminum oxide, or by a deposition process such asatomic layer deposition (ALD) that directly forms aluminum oxide.Following the aluminum oxide formation, another layer of aluminum or thealuminum-copper alloy layer is deposited over the aluminum oxide layer.

Although the present example refers to aluminum-aluminum oxide qubits,one could apply the same methods to other metal-oxide systems. Forexample, the base and mesa (or top) metals can be comprised of niobium(Nb) with the thin tunnel oxide being a deposited dielectric other thanaluminum oxide, such as hafnium oxide (HfO₂) or yttrium oxide (Y₂O₃).

As previously discussed, applying a thermal cycle during the formationof JJ qubits has been avoided due to the damage that the thermal cyclingcaused to the JJ qubit. However, recent experiments have shown that suchheating produces a limited change in the critical junction current atroom temperature, indicating minimal effect on the JJ qubit performance.The disclosed invention intentionally integrates a thermal anneal intothe JJ qubit fabrication process that essentially hardens thesuperconductor-dielectric junction against junction travel or subsequentdiffusion resulting from additional processing.

FIG. 2 illustrates a graph 30 of critical current density of exemplaryJJ qubits versus annealing time at different temperatures (e.g., 150° C.to 300° C.) and environments (e.g., N₂, O₂). As shown in FIG. 2, at atemperature of 300° C., heating beyond 15 minutes has a limited effecton the superconductor-dielectric junction behavior. Thus, applying athermal cycle to the JJ junction immediately following its formationwill harden the junction against other thermal cycles that might beintroduced during the foundry process to produce the junctions. In itspristine, as-grown state, the tunnel oxide in the JJ forms an energybarrier with a discrete barrier height and thickness, as shown a graph40 of distance versus energy in FIG. 3. As illustrated in a graph 42 ofdistance versus energy in FIG. 4, the thermal processing inducesdiffusion of the oxide, smearing the junction, thereby lowering theenergy barrier height and increasing its width.

It is to be appreciated that there are several benefits to this thermalhardening process. For example, to harden a photoresist against beingetched unintentionally, one typically hardens it by heating it to >180°C. and exposing it to UV light. Furthermore, the most effective way tostrip a hardened photoresist is to heat it to >215° C. and expose it toozone. These steps were unavailable to qubit fabrication prior to addingthe junction thermal hardening process. Fabrication of the junctions cansuffer without this process because one must account for the photoresistgetting etched unintentionally, or stripped incompletely. Anotherexample is metal etching. A metal etch is a process driven by chemicalreaction, meaning that a higher temperature can make it more efficient.With low temperature etches, etch by-products have been found to have adeleterious effect on narrow metal lines, meaning that additional,expensive processing steps have to be added to protect the metal.

Turning now to FIGS. 5-12, fabrication is discussed in connection withformation of openings in the superconductor layers to formsuperconductor raised portions that can provide a plurality of JJ phasequbits similar to the JJ phase qubit illustrated in FIG. 1. FIG. 5illustrates a superconductor structure 50 in its early stages offabrication. The superconductor structure 50 includes a JJ trilayer 62residing over an insulator layer 54 that resides over a substrate 52.The JJ trilayer 62 is formed of a dielectric layer 58 sandwiched betweena first superconductor layer 56 and a second superconductor layer 60.The substrate 52 can be formed of silicon or another substrate materialand the insulator layer 54 can be formed of an oxide or other insulatormaterial. Alternatively, the substrate 52 can be formed of an insulatingsubstrate (e.g., sapphire), such that the insulating layer 54 can beomitted during fabrication of the JJ phase qubit 50. The JJ trilayer 62can be formed from deposition of the first superconductor material layer56, such as Al, Al—Cu, Nb or some other superconductor material layerover the insulator layer 56 and forming the dielectric layer 58, such asaluminum oxide, hafnium oxide or yttrium oxide, over the firstsuperconductor material layer 56. The aluminum oxide can be formed, forexample, by depositing aluminum, and then oxidizing the aluminum to formaluminum oxide, or by a deposition process such as atomic layerdeposition (ALD) that directly forms aluminum oxide. The secondsuperconductor material layer 60 is then deposited on top of thedielectric layer 58.

As illustrated in FIG. 6, a thermal anneal process 100 is performed onthe structure 50 of FIG. 5 that results in a controlled diffusion of thedielectric layer 58 into both the first superconductor material layer 56and the second superconductor material layer 60 forming a firstdielectric diffused region 57 in the first superconductor material layer56 and a second dielectric diffused region 59 in the secondsuperconductor material layer 60, as shown in the resultant structureillustrated in FIG. 7. The thermal anneal can be performed in an inertenvironment (e.g, in a nitrogen, argon, or helium environment, or in avacuum) and exposing the JJ trilayer 62 to a temperature of about 150°C. to about 400° C. (e.g., 300° C.) for about 15 minutes to about 120minutes. As previously stated, this tunes or shifts the critical currentdensity of the subsequent JJ to be formed from a first critical currentdefined by the dimension of the qubit (e.g., the dielectric layer) to asecond critical current defined by the temperature anneal. Thecontrolled diffusion allows for employment of standard siliconprocessing equipment and techniques sinces the controlled diffusionmitigates further deleterious effects of further processing that wouldproduce uncontrolled diffusion and unknown changes to the criticalcurrent density.

As illustrated in FIG. 8, a protective barrier layer 64 is formed overthe second superconductor material layer 60 and protects the secondsuperconductor material layer 60 from a photoresist developer utilizedduring the formation of an etch mask to etch openings to form patternsin the JJ trilayer 62. Any suitable technique for forming the protectivebarrier layer 62 may be employed such as Low Pressure Chemical VaporDeposition (LPCVD), Plasma Enhanced Chemical Vapor Deposition (PECVD),Atomic Layer Deposition (ALD), sputtering or spin on techniques to athickness suitable for providing protection of the underlyingsuperconductor material layer 60 and/or 56. The protective barrier layer64 can have a thickness, for example, of about 600 Å to about 800 Å(e.g., 700 Å).

In one aspect of the invention, the protective barrier layer 64 can beformed of an organic spin-on material (e.g., an organic anti-reflectivecoating (ARC)) that can be cured at temperatures at or above 150° C. Inan aspect of the invention, the organic spin-on material is adry-etchable ARC material that includes a recommendation to cure thedry-etchable ARC material at a temperature of 180° C. for 60 seconds.Prior to the disclosed invention, temperatures above 150° C. would alterthe critical current of the subsequently formed JJ qubit. However, ithas been determined that due to the hardening process, the material canbe cured at its recommended temperature and time without furtheraffecting the critical current density of the JJ qubit. Alternatively,the protective barrier layer 64 is a photosensitive material and iscured by employing a photocuring process (e.g., exposure to ultravioletlight (UV)). As illustrated in FIG. 8, a curing process 110 is performedon the protective barrier layer at a temperature of 180° C. for 60seconds.

Next, as represented in FIG. 9, a photoresist material layer 66 isapplied to cover the structure and is then patterned and developed toexpose open regions 68 in the photoresist material layer 66 inaccordance with an opening pattern. The photoresist material layer 66can have a thickness that varies in correspondence with the wavelengthof radiation used to pattern the photoresist material layer 66. Thephotoresist material layer 66 may be formed over the protective barrierlayer 64 via spin-coating or spin casting deposition techniques,selectively irradiated and developed to form the openings 68. Thedeveloper utilized in the developing of the photoresist has no effect onthe protective barrier layer 64.

FIG. 10 illustrates performing of an etch 120 (e.g., anisotropicreactive ion etching (RIE)) on the protective barrier layer 68 to formextended openings 70 (FIG. 11) in the protective barrier layer 66 basedon the opening pattern in the photoresist material layer 68. The etchstep 120 can be a dry etch or wet etch that employs an etchant whichselectively etches the protective barrier layer 64 at a faster rate thanthe underlying superconductor material layer 60 and the overlyingphotoresist material layer 66. For example, the protective barrier layer64 may be anisotropically etched with a plasma gas(es), herein carbontetrafloride (CF₄) containing fluorine ions, in a commercially availableetcher, such as a parallel plate RIE apparatus or, alternatively, anelectron cyclotron resonance (ECR) plasma reactor to replicate the maskpattern of the patterned of the photoresist material layer 66 to therebycreate the extended openings 70 (FIG. 11).

FIG. 11 illustrates performing of an etch step 130 on the JJ trilayer 62to form extended openings 72 (FIG. 12) in the JJ trilayer layer 62. Itis to be appreciated that separate etch steps can be performed on thesecond superconductor material layer 60, the dielectric layer 58 and thefirst superconductor material layer 56. A second barrier layer asdescribed above could be employed to protect the first superconductinglayer 56 from the photoresist developer. The etch 130 can be, forexample, a dry chlorine based plasma etch. For example, the JJ trilayer62 can be anisotropically etched with a plasma gas(es) containingchlorine ions, in a commercially available etcher, such as a parallelplate Reactive Ion Etch (RIE) apparatus, Inductively Coupled Plasma(ICP) reactor or, alternatively, an electron cyclotron resonance (ECR)plasma reactor to replicate the mask pattern of the patternedphotoresist material layer 66 to thereby create the opening pattern inthe JJ trilayer 62. Alternatively, the etch 130 may be a wet etch. Thephotoresist material layer 66 and the protective barrier layer 64 arethereafter stripped (e.g., ashing in an O₂ plasma) so as to result inthe structure shown in FIG. 12, which illustrates a set ofsuperconductor material raised portions 74 that can be employed as aplurality of JJ qubits. It is to be appreciated that subsequentadditional processing steps can be employed to form conductive lines andcontacts to the set of superconductor material raised portions 74.

What has been described above are examples of the invention. It is, ofcourse, not possible to describe every conceivable combination ofcomponents or methodologies for purposes of describing the invention,but one of ordinary skill in the art will recognize that many furthercombinations and permutations of the invention are possible.Accordingly, the invention is intended to embrace all such alterations,modifications, and variations that fall within the scope of thisapplication, including the appended claims.

What is claimed is:
 1. A plurality of Josephson junction (JJ) quantumbit (qubits) arranged on a substrate, each of the plurality of qubitscomprising: a dielectric layer; a superconductor base layer portionunderlying the dielectric layer and having a first dielectric diffusedregion in the superconductor base layer portion adjacent a dielectriclayer/ superconductor base layer portion junction; and a superconductormesa layer portion overlying the dielectric layer and having a seconddielectric diffused region in the superconductor mesa layer portionadjacent a dielectric layer/ superconductor mesa layer portion junction,the first and second dielectric diffused regions mitigating furtherdiffusion from other semiconductor processes on the plurality of qubits;wherein the first and second dielectric diffused regions of a given JJqubit define a critical current density of the given JJ qubit as asecond critical current density that is greater than a first criticalcurrent density of the given JJ qubit implemented without the first andsecond diffused regions.
 2. The plurality of qubits of claim 1, whereinthe dielectric layer of each qubit is aluminum oxide (Al₂O₃), and eachof the superconductor base layer portion and superconductor mesa layerportion are either one of aluminum (Al) and aluminum-copper (Al-Cu). 3.The plurality of qubits of claim 1, wherein the dielectric layer of eachqubit is formed of a dielectric material that provides for hardening thesuperconductor-dielectric junction against junction travel and/orsubsequent diffusion resulting from additional processing and each ofthe superconductor base layer portion and superconductor mesa layerportion are niobium (Nb).
 4. The plurality of qubits of claim 1, whereina pattern of extended openings separate each of the plurality of qubitsfrom an adjacent qubit.
 5. The plurality of qubits of claim 1, whereinthe plurality of qubits are formed on an insulting layer that residesbetween the plurality of qubits and the substrate.
 6. The plurality ofqubits of claim 1, wherein the superconductor base layer portion andsuperconductor mesa layer portion are aligned with one another.
 7. Theplurality of qubits of claim 1, wherein the dielectric layer is one ofHfO2 and Y2O3.
 8. The plurality of qubits of claim 1, further comprisingone or more conductive lines and contacts connecting to the plurality ofqubits.
 9. The plurality of qubits of claim 1, wherein the secondcritical current density is selected based on an annealing temperatureemployed to form the first and second dielectric regions.
 10. Aplurality of Josephson junction (JJ) quantum bit (qubits) separated by apattern of extended openings and arranged on an insulting layer thatresides between the plurality of qubits and a substrate, each of theplurality of qubits comprising: a superconductor base layer portionunderlying a dielectric layer and having a first dielectric diffusedregion in the superconductor base layer portion adjacent a dielectriclayer/ superconductor base layer portion junction; and a superconductormesa layer portion overlying the dielectric layer and having a seconddielectric diffused region in the superconductor mesa layer portionadjacent a dielectric layer/ superconductor mesa layer portion junction,the first and second dielectric diffused regions mitigating furtherdiffusion from other semiconductor processes on the plurality of qubits,the superconductor base layer portion and superconductor mesa layerportion being aligned with one another, wherein the first and seconddielectric diffused regions of each respective JJ qubit of the pluralityof JJ qubits define a critical current density of each respective JJqubit of the plurality of JJ qubits as a second critical current densitythat is greater than a first critical current density of each respectiveJJ qubit of the plurality of implemented without the first and seconddielectric diffused regions.
 11. The plurality of qubits of claim 1,wherein the critical current density of the given JJ qubit is at least40 amperes per square centimeter (A/cm²).
 12. The plurality of qubits ofclaim 1, wherein the critical current density of the given JJ qubit isat least 50 amperes per square centimeter (A/cm²).
 13. The plurality ofqubits of claim 1, wherein the critical current density of the given JJqubit is at least 65 amperes per square centimeter (A/cm²).
 14. Theplurality of qubits of claim 1, wherein the first critical currentdensity of the given JJ qubit is defined by a thickness of thedielectric layer of the given JJ qubit.
 15. A Josephson junction (JJ)quantum bit (qubit) comprising: a dielectric layer; a superconductorbase layer portion underlying the dielectric layer and having a givendielectric diffused region in the superconductor base layer portionadjacent a dielectric layer/ superconductor base layer portion junction;and a superconductor mesa layer portion overlying the dielectric layerand having another dielectric diffused region in the superconductor mesalayer portion adjacent a dielectric layer/ superconductor mesa layerportion junction, the given and the another dielectric diffused regionsmitigate further diffusion from other semiconductor processes on theplurality of qubits and a critical current density of the JJ qubit is atleast 40 amperes per square centimeter (A/cm²).